Least Common Multiple of 897/670, 278/846, 660/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 897/670, 278/846, 660/320 quickly i.e. 13715130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/670, 278/846, 660/320 is 13715130.

LCM(897/670, 278/846, 660/320) = 13715130

LCM of 897/670, 278/846, 660/320

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 897/670,278/846,660/320

Given numbers are 897/670,278/846,660/320

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 897,278,660

Least Common Multiple of Numerators i.e. LCM of 897,278,660 is 27430260.

GCF of Denominators means GCF of 670,846,320 as per the given fractions.

GCF of 670,846,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,278,660

LCM of Fractions 897/670,278/846,660/320 is 13715130

2 897, 278, 660
3 897, 139, 330
299, 139, 110

∴ So the LCM of the given numbers is 2 x 3 x 299 x 139 x 110 = 27430260

Least Common Multiple of 897,278,660 with GCF Formula

Least Common Multiple of 897,278,660 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 897,278,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,278,660) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(897,278,660) x common factors =1 x 6 = 6

LCM(897,278,660) = ( 897 × 278 × 660 ) / 6

LCM(897,278,660) = 164581560 / 6

LCM(897,278,660) = 27430260


Lets's calculate GCF of 670,846,320

2 670, 846, 320
335, 423, 160

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27430260/2

Therefore the LCM of Fractions 897/670,278/846,660/320 is 13715130

Greatest Common Factor of 670,846,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,846,320 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 670,846,320 . The biggest common factor number is the GCF number.
So the greatest common factor 670,846,320 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 897/670, 278/846, 660/320

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 897/670, 278/846, 660/320?

Answer: LCM of Numerators as per given numbers 897/670, 278/846, 660/320 is

LCM of Numerators i.e. for 897,278,660 is 27430260

GCF of denominators i.e. for 670,846,320 is 2.

Thus, LCM of Fractions is 13715130.Finally, LCM of Fractions for 897/670, 278/846, 660/320 is 13715130.